A) \[\frac{351}{990}\]
B) \[\frac{58}{165}\]
C) \[\frac{352}{990}\]
D) \[\frac{349}{3990}\]
Correct Answer: B
Solution :
(b): \[0.3\overline{51}=0.3+0.0\overline{51}\] \[=0.3+\frac{1}{10}\times \left\{ 0.\overline{51} \right\}\] \[=0.3+\frac{1}{10}\times \frac{51}{99}\] \[\frac{3}{10}+~\frac{51}{990}\] \[=\frac{297+51}{990}=\frac{348}{990}=\frac{116}{330}=\frac{58}{165}\].You need to login to perform this action.
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